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Finding the Fourth Proportional to 10,101.40, 13,944.96 and 7,827.64

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Solution

The fourth proportional to 10,101.40, 13,944.96 and 7,827.64 is: 10,806.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101.40 : 13,944.96 = 7,827.64 : x
  2. Step 2: Convert to fraction form
    10,101.40/13,944.96 = 7,827.64/x
  3. Step 3: Cross multiply
    10,101.40x = 13,944.96 × 7,827.64
  4. Step 4: Simplify right side
    10,101.40x = 109,156,126.69
  5. Step 5: Solve for x
    x = 109,156,126.69/10,101.40
  6. Step 6: Final answer
    x = 10,806.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.